A 5-kg object is thrown downward with an initial velocity of 4 m/s from the top of a tall| building. Air resistance in newtons is numerically equal to 2v, where vis the object's velocity in m/s. Applying Newton's second law of motion to the object gives rise to which of the following differential eguations?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 5-kg object is thrown downward with an
initial velocity of 4 m/s from the top of a tall
building. Air resistance in newtons is
numerically equal to 2v, where vis the object's
velocity in m/s. Applying Newton's second law
of motion to the object gives rise to which of
the following differential equations?
Select the correct response:
50a -2v = g
50v' + 2v = 490
9.8 - 2v = 50a
9.8 - 2v = dv/dt
Transcribed Image Text:A 5-kg object is thrown downward with an initial velocity of 4 m/s from the top of a tall building. Air resistance in newtons is numerically equal to 2v, where vis the object's velocity in m/s. Applying Newton's second law of motion to the object gives rise to which of the following differential equations? Select the correct response: 50a -2v = g 50v' + 2v = 490 9.8 - 2v = 50a 9.8 - 2v = dv/dt
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